Search a number
-
+
11211220020220 = 22511251363755823
BaseRepresentation
bin1010001100100101000011…
…0010010110101111111100
31110200210010012101110001021
42203021100302112233330
52432141034311121340
635502210253353524
72234661324552463
oct243112062265774
943623105343037
1011211220020220
1136327194753a0
121310986a988a4
136342a111453c
142aa8a983b9da
15146969b7de4a
hexa3250c96bfc

11211220020220 has 96 divisors (see below), whose sum is σ = 25793764125696. Its totient is φ = 4059375840000.

The previous prime is 11211220020199. The next prime is 11211220020223. The reversal of 11211220020220 is 2202002211211.

It is a happy number.

11211220020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11211220020194 and 11211220020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211220020223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200807229 + ... + 200863051.

It is an arithmetic number, because the mean of its divisors is an integer number (268685042976).

Almost surely, 211211220020220 is an apocalyptic number.

11211220020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211220020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896882062848).

11211220020220 is an abundant number, since it is smaller than the sum of its proper divisors (14582544105476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211220020220 is a wasteful number, since it uses less digits than its factorization.

11211220020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59731 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11211220020220 its reverse (2202002211211), we get a palindrome (13413222231431).

The spelling of 11211220020220 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 3637 5020 5522 7274 11044 13805 14548 18185 27610 36370 40007 55220 55823 72740 80014 111646 160028 200035 223292 279115 400070 558230 614053 800140 912887 1116460 1228106 1825774 2456212 3070265 3651548 4564435 6140530 9128870 10041757 12281060 14011573 18257740 20083514 28023146 40167028 50208785 56046292 70057865 100417570 140115730 154127303 200835140 203028251 280231460 308254606 406056502 616509212 770636515 812113004 1015141255 1541273030 2030282510 2233310761 3082546060 4060565020 4466621522 8933243044 11166553805 22333107610 44666215220 50960091001 101920182002 203840364004 254800455005 509600910010 560561001011 1019201820020 1121122002022 2242244004044 2802805005055 5605610010110 11211220020220